mth240 | undergraduate

Advanced Quantitative Reasoning

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In this course, students critically analyze and solve real-world problems using Algebra, Geometry, and Trigonometry. Students apply advanced quantitative reasoning techniques to solve problems and make decisions through discrete and continuous modeling. Topics include economics, finance, statistics, growth/decay models, and graph theory.

This undergraduate-level course is 5 This course is available as part of a degree or certificate program. To enroll, speak with an Enrollment Representative.

Course details:

Credits: 3
Continuing education units: XX
Professional development units: XX
Duration: 5

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    Applications of Geometry and Trigonometry

    • Contrast different types of geometry and their various uses.
    • Define, in mathematical terms, plane symmetry and tiling.

    • Apply trigonometric formulas to real-world measurement scenarios.
    • Determine the type of symmetry in a given tiling.
    • Identify various arguments for the Pythagorean theorem.

    Mathematical Thinking

    • Define mathematical reasoning. 
    • Determine a process to approach word scenarios with mathematical reasoning.
    • Apply various problem-solving strategies to find the essential part of the problem.
    • Apply algebraic reasoning to exponential financial growth and decay.

    Graph Theory

    • Define graphs as a mathematical object.
    • Use graphs to model real-word scenarios.
    • Analyze the connections between plane graphs and solid geometry.

    Descriptive Statistics

    • Calculate and interpret statistical summaries of central tendency and variation.
    • Interpret data distributions graphically.
    • Analyze how data is obtained and summarized.

    Inferential Statistics

    • Use sample statistics to make predictions about entire populations.
    • Distinguish between the statistical and practical meanings of the word significance.
    • Explain how iterating simple processes lead to complex behavior.
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    Transferability of credit is at the discretion of the receiving institution. It is the student’s responsibility to confirm whether or not credits earned at University of Phoenix will be accepted by another institution of the student’s choice.